Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 108 · 40 questions

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

1. 1.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
2. 2.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 10 cm (c) 171 cm (d) 11 cm
3. 3.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
4. 4.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 5 cm (d) 6 cm
5. 5.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 56 cm
6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
7. 7.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
8. 8.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 42 sq cm (d) 21 sq cm
9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
10. 10.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 28 sq cm (d) 11 sq cm
11. 11.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
12. 12.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 171 sq cm (c) 152 sq cm (d) 27 sq cm
13. 13.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 12 cm (d) 11 cm
14. 14.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
15. 15.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 4 cm (d) 5 cm
16. 16.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
17. 17.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
18. 18.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 114 sq cm (c) 25 sq cm (d) 50 sq cm
19. 19.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 3 cm (d) 4 cm
20. 20.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 32 cm (c) 16 cm (d) 27 cm
21. 21.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 22 cm (d) 11 cm
23. 23.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
24. 24.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 25 sq cm (d) 50 sq cm
25. 25.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
26. 26.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
27. 27.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
29. 29.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 64 cm (d) 32 cm
30. 30.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 6 cm (c) 22 cm (d) 4 cm
31. 31.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 56 cm (c) 48 cm (d) 28 cm
32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm
33. 33.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 45 cm (c) 33 cm (d) 18 cm
34. 34.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
35. 35.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
36. 36.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 90 cm (c) 29 cm (d) 19 cm
37. 37.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 27 cm (c) 8 cm (d) 5 cm
38. 38.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
39. 39.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 41 cm (c) 90 cm (d) 23 cm
40. 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 17 cm (d) 21 cm

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